There are four wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested. (Hint: There are four choices for the first wire, three for the second wire, two for the third wire, etc. Enter an exact number.)

Q: 1)Tom has 2021 balloons to be evenly distributed among 21 students. If every student receives the…

A: Tom has 2021 balloons .We have distributed in 21 students every students receive balloons…

Q: A Zoom class has 48 students, and for an in-class activity they will be going into breakout rooms in…

A: a) The number of different breakout room assignments if the breakout room numbers matters is,…

Q: Many states have a lottery game, usually called Pick-4, in which you pick a four-digit number such…

A: Introduction: There are 4 digits to be selected for the game. Each digit can be any one between 0…

Q: There are 8 nickels, 5 dimes, 7 quarters, and 6 loonies in a piggy bank. You are thinking of…

A: Given, in a piggy bank, there are  8 nickels, 5 dimes, 7 quarters, and 6 loonies.

Q: Many states have a lottery game, usually called Pick-4, in which you pick a four-digit number such…

A: i) All four digits are unique The probability is determined as below,…

Q: If the goal keeper and defender should be selected from Class X that has 40 students for school…

A:

Q: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at…

A:

Q: Suppose there is a club of 15 people. In how many ways can a committee of 3 people be selected?

A: Our objective is to find the number of way

Q: A team composed of two grade 11 and two grade 10 students is to be sent to a debate contest. If…

A: The provided information is  There are Two grade 11 and two grade 10 students  There are also 60…

Q: How many 4-digit numbers can be formed from the digits 1,3,5,6, 8 and 9 if no repetition is allowed

A: Given : No. of digits (N) = 6 Digits : 1 , 3 , 5 , 6 , 8 , 9 4-digit no. can be formed i.e n = 4

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 25 (b)…

A:

Q: Suppose the Department of Motor Vehicles uses six digits and the numbers 0 through 9 to create its…

A: Solution.

Q: A swimming coach needs to choose a team for a relay race. The coach must select 4 of 6 available…

A: Given,no.of swimmers=6

Q: A certain committee has organized a retreat for all couples, where the couples are to sit around a…

A: SolutionGiven A certain committee hasorganised a retreat for all couples, wherethe couples are to…

Q: Consider an alphabet that has 21 consonants and 5 vowels.  In how many ways can you make any…

A: This is from combinatorial.

Q: The number of permutation of n items is also called as _______________.

A: We have to fill the blank with the correct information -  The number of permutation of n items is…

Q: In a different plan for area​ codes, the first digit could be any number from 0 through 3​ the…

A: Given Data: The first digit could be any number from 0 through 3 and  the second digit was either 3…

Q: Assuming that no one can hold more than one office, how many selections are possible?

A: select a president, vice-president, secretary, and treasurer out of a club with 15 members.  Here…

Q: 12 babies are randomly selected selected, how many different gender sequences are possible?

A:

Q: A credit card company gives each of its customers a 4-digit PIN where each digit is selected from…

A: Multiplication rule of counting:If a task consists of a sequence of choices in which there are ‘a’…

Q: Consider the numbers 2, 4, 5, 7 and 8. If repetition is not allowed, how many three digit numbers…

A: Solution To make the 3 digit number we will use permutation.

Q: If repetitions are not permitted, how many 3-digit even numbers can be performed from the six digits…

A:

Q: 5. At Peaches in Alabel, there are 5 different toppings of pizZza, where a costumer can order any…

A:

Q: A combination lock uses three numbers between 1 and 46 with repetition, and they must be selected in…

A: Answer is option D

Q: f there are eleven​multiple-choice questions on an​ exam, each having three possible​ answers, how…

A: Given that  Number of multiple choice questions in exam (n) = 11  Each question has 3 possible…

Q: What is the minimum number of students required in a Mathematics class test to be sure that at least…

A: We need to use the pigeonhole principle.  We need to find the minimum number of students that are…

Q: Certain automobile license plates consist of a sequence of three letters followed by four digits. If…

A: We have a license plate that consists of a sequence of three letters followed by four digits. The…

Q: a. How many different license plates did this system​ allow?   b. More license plate tags were…

A: Given  each license plate contained three letters of the​ alphabet, followed by four digits selected…

Q: how many ways are there if a teacher has to select 2 students from a group of of four to represent…

A:

Q: n how many ways can a committee of 4 be selected from 8 seniors 8. and 6 juniors if the committee…

A: Since you have posted multiple questions, as per our guidelines, we have provided answer for first…

Q: . Over the past year, John has purchased 30 books.(a) In how many ways can he pick four of these…

A: Permutation is an arrangement or order of selecting some of the elements from a group or a set of…

Q: Founders of a new unnamed company have narrowed the list of names under consideration to 30.…

A: Total number of the names for consideration = 30. The company is considering up to 3 names i.e. the…

Q: Many states have a lottery game, usually called Pick-4, in which you pick a four-digit number such…

A:

Q: There are 8 performers who will present their comedy acts this weekend at a comedy club. One of the…

A:

Q: select three (3) coins, but assume that there are 5 dimes, 4 nickels, and 2 quarters. In how many…

A:

Q: a lock has a code of 3 numbers between 1 and 20. if no numbers in the code are allowed to repeat,…

A: Permutation and combination are used to calculate the number of possible ways to arrange or select a…

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 25.…

A: 1 to 25 there are 25 numbers. The numbers may repeat in the combination. For the first number, there…

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 20.…

A: a) For each number we have 20 choices. Each position is independent of other positions  So by…

Q: A group of 8 people, including Betty and Bob, are going to take a group photo. In how many ways can…

A: Number of people in group is 8 .

Q: Owners of a restaurant advertise that they offer 1,114,095 different lunches based on the fact that…

A: To explain: How the owner of a restaurant arrive to the number 1,114,095. Given: The owner have 16…

Q: A combination lock uses three numbers between 1 and 36 with repetition, and they must be selected in…

A: 1.) Here, three numbers are used between 1 to 36 with repetitions. The all possible ways in which a…

Q: 2) A class has 25 students. Each day, three students are chosen to present their work at the board.…

A:

Q: How many ways can a local chapter of the American Chemical Society Schedules 3 speakers for 3…

A: As Dr. S. N. De said "A permutation of a set is defined as an arrangement of its members into a…

Q: A combination lock uses three numbers between 1 and 88 with repetition, and they must be selected in…

A: Solution: Correct option is C.

Q: A music class of five girls and four boys is having a recital. If each member is to perform once,…

A: There are 5 girls and 4 boys. The number of ways that all girls must perform first is, The number…

Q: In how many ways can a large retail store select 3 sites on which to build a new store if it has 12…

A: We have to find given combination possible.

Q: The Senate committee on Education has 7 members, including Abner and Barbara. A subcommittee of…

A: The Senate committee on Education has 7 members, including Abner and Barbara. A three member…

Q: How many four-digit numbers can be made from the digits 1 to 6 if repetition is allowed?

A: Number of four digit can be made from digits  1 to 6 :

Q: To win at LOTTO in one​ state, one must correctly select 7 numbers from a collection of 49 numbers​…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.